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Finding the Fourth Proportional to 517,597.97, 714,268.97 and 299,810.90

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Solution

The fourth proportional to 517,597.97, 714,268.97 and 299,810.90 is: 413,729.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,597.97 : 714,268.97 = 299,810.90 : x
  2. Step 2: Convert to fraction form
    517,597.97/714,268.97 = 299,810.90/x
  3. Step 3: Cross multiply
    517,597.97x = 714,268.97 × 299,810.90
  4. Step 4: Simplify right side
    517,597.97x = 214,145,622,737.77
  5. Step 5: Solve for x
    x = 214,145,622,737.77/517,597.97
  6. Step 6: Final answer
    x = 413,729.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.